Numerical Solution to H∞ Control of Multi-Delayed Systems via Operator Approach
(2000) 5. p.4227-4232- Abstract
- A computational algorithm for the full information H∞ control problem for multi-delayed LTI systems is derived. The algorithm is based on a general operator approach in the spectral domain developed for finite-dimensional LTI plants. The simplicity of spectral operations and explicit formulas for computation make it possible to generalize it to infinite-dimensional plants. In the paper, a complete computational solution for such a plant with several delays in the output, control and disturbance is obtained and illustrated with a simple example
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/537988
- author
- Barabanov, A. and Ghulchak, Andrey LU
- organization
- publishing date
- 2000
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- keywords
- control, H∞, Fourier transforms, closed loop systems delay systems linear systems multidimensional systems stability, algebra
- host publication
- Proceedings of the 39th IEEE Conference on Decision and Control, 2000.
- volume
- 5
- pages
- 4227 - 4232
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- scopus:0034440335
- ISBN
- 0-7803-6638-7
- DOI
- 10.1109/CDC.2001.914562
- language
- English
- LU publication?
- yes
- id
- 47fa769b-dbf9-406b-bfd7-1292f4fd3353 (old id 537988)
- date added to LUP
- 2016-04-04 10:33:34
- date last changed
- 2022-01-29 20:26:14
@inproceedings{47fa769b-dbf9-406b-bfd7-1292f4fd3353, abstract = {{A computational algorithm for the full information H∞ control problem for multi-delayed LTI systems is derived. The algorithm is based on a general operator approach in the spectral domain developed for finite-dimensional LTI plants. The simplicity of spectral operations and explicit formulas for computation make it possible to generalize it to infinite-dimensional plants. In the paper, a complete computational solution for such a plant with several delays in the output, control and disturbance is obtained and illustrated with a simple example}}, author = {{Barabanov, A. and Ghulchak, Andrey}}, booktitle = {{Proceedings of the 39th IEEE Conference on Decision and Control, 2000.}}, isbn = {{0-7803-6638-7}}, keywords = {{control; H∞; Fourier transforms; closed loop systems delay systems linear systems multidimensional systems stability; algebra}}, language = {{eng}}, pages = {{4227--4232}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, title = {{Numerical Solution to H∞ Control of Multi-Delayed Systems via Operator Approach}}, url = {{https://lup.lub.lu.se/search/files/5567412/625730.pdf}}, doi = {{10.1109/CDC.2001.914562}}, volume = {{5}}, year = {{2000}}, }